Hiroki Kuroda, Rafael Soriano and Nick Swisher all turned down qualifying offers from the Yankees on Friday.

The Yankees made the one-year, $13.3 million offers last week to ensure draft compensation if any of the three free agents signs elsewhere.

“I’m not surprised whatsoever,” Brian Cashman said before leaving the General Managers meetings in Indian Wells, Calif. “I expected it.”

Kuroda and Soriano could still be interested in staying in The Bronx, either for more years or more money. Swisher, though, appears to be headed out of town since he will draw plenty of interest from other teams despite an inability to hit in the postseason.

“I’m excited about the opportunities we have,” Cashman said. “I like the fact that we can continue dialogue with everybody that we would like to and still be in a position to gain draft picks as a worst-case scenario, which would benefit our farm system as we move forward.”

Of the three, the Yankees appear to want — and need — Kuroda back the most.

With CC Sabathia sidelined by groin and elbow injuries last season, Kuroda became the Yankees’ most dependable starter.

And although the team and Sabathia are confident the lefty will have fully recovered from arthroscopic surgery to remove a bone spur in his left elbow by Opening Day, Kuroda would be a significant part of their rotation in 2013- especially with Andy Pettitte’s future yet to be determined.

But Kuroda will likely have other options. He could go back to Japan, as he appeared ready to do a year ago until the Yankees stepped in — or he could land in Boston or back in Los Angeles with the Dodgers.

Whether he signs for one year or two, Kuroda is almost certain to cost more than the $10 million the Yankees gave him last year after proving he was able to pitch in the AL East.

Soriano, with agent Scott Boras, is expected to look for a multi-year deal, as well. And with the Yankees expected to finalize a deal with Mariano Rivera- and determined to get under the $189 million payroll tax in 2014- Soriano may not be a fit to stay in The Bronx.

Additional reporting by Ken Davidoff in Indian Wells, Calif.

But Kuroda will likely have other options. He could go back to Japan, as he appeared ready to do a year ago until the Yankees stepped in — or he could land in Boston or back in Los Angeles with the Dodgers.

Whether he signs for one year or two, Kuroda is almost certain to cost more than the $10 million the Yankees gave him last year.

Soriano, with agent Scott Boras, is expected to look for a multi-year deal, as well. And with the Yankees expected to finalize a deal with Mariano Rivera — and determined to get under the $189 million payroll tax in 2014 — Soriano may not be a fit to stay in The Bronx.

General manager Brian Cashman left the GM Meetings Friday in Indian Wells, CA with plenty of work ahead for the offseason.